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Finding the Fourth Proportional to 470,940.42, 706,410.77 and 138,516.42

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Solution

The fourth proportional to 470,940.42, 706,410.77 and 138,516.42 is: 207,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,940.42 : 706,410.77 = 138,516.42 : x
  2. Step 2: Convert to fraction form
    470,940.42/706,410.77 = 138,516.42/x
  3. Step 3: Cross multiply
    470,940.42x = 706,410.77 × 138,516.42
  4. Step 4: Simplify right side
    470,940.42x = 97,849,490,217.26
  5. Step 5: Solve for x
    x = 97,849,490,217.26/470,940.42
  6. Step 6: Final answer
    x = 207,774.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.